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Řešení exponenciální rovnice
Řeš v \( \R \) rovnici:
\( \large \left( \Large \frac{81}{27}\large \right) ^{x} = \Large \frac{27}{3}\large \)
\( (\frac{81}{27})^{0} = \frac{27}{3} \)
\( 3^{0} = 9 \)
\( 1 = 9 \)
\( (\frac{81}{27})^{2} = \frac{27}{3} \)
\( 3^{2} = 9 \)
\( 9 = 9 \)
\( (\frac{81}{27})^{1} = \frac{27}{3} \)
\( 3^{1} = 9 \)
\( 3 = 9 \)
\( (\frac{81}{27})^{3} = \frac{27}{3} \)
\( 3^{3} = 9 \)
\( 27 = 9 \)